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Statistical Optimization for Geometric Computation: Theory and Practice
by Kenichi Kanatani

ISBN: 0486443086
Dover Publications Price: $26.95
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This text discusses the mathematical foundations of statistical inference for building 3-dimensional models from image and sensor data that contain noise — a task involving autonomous robots guided by video cameras and sensors. The text employs a theoretical accuracy for the optimization procedure, which maximizes the reliability of estimations based on noise data. 1996 edition.
Slightly corrected republication of the edition published by Elsevier Science, Amsterdam, 1996.


Table of Contents for Statistical Optimization for Geometric Computation: Theory and Practice
1. Introduction
2. Fundamentals of Linear Algebra
3. Probabilities and Statistical Estimation
4. Representation of Geometric Objects
5. Geometric Correction
6. 3-D Computation by Stereo Vision
7. Parametric Fitting
8. Optimal Filter
9. Renormalization
10. Applications of Geometric Estimation
11. 3-D Motion Analysis
12. 3-D Interpretation of Optical Flow
13. Information Criterion for Model Selection
14. General Theory of Geometric Estimation
References
Index

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